MAT 21A Lecture Notes - Lecture 6: Intermediate Value Theorem, Classification Of Discontinuities
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MAT 21A Full Course Notes
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Mat21a - lecture 6 - 2. 5: continuous functions part 2 & 2. 6: limits involving infinity part 1. = x6 6 2 6 f. By plugging in these points we can assume the graph looks something like this. ), the graph must cross the x-axis at least twice. Intermediate value theorem (ivt): if f(x) is continuous on [a,b] and f(a) < c < f(b) of f(b) < c < f(a) then there"s some x-value between a and b where f(x) = c. The graph must cross y=c somewhere between x=a and x=b. Does y = g(x) ever cross the x-axis? x5 + x + 1 (x)g. We cannot conclude that the graph crosses the x-axis between x=1 and x=-1 because the graph is not continuous at x=0. Average height = 17 - 24 inches. Average weight = 4 - 12 pounds. So, a some moment, your weight (lbs) = your height (in)
